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Finding the Fourth Proportional to 111,305.66, 167,013.30 and 52,131.11

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Solution

The fourth proportional to 111,305.66, 167,013.30 and 52,131.11 is: 78,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,305.66 : 167,013.30 = 52,131.11 : x
  2. Step 2: Convert to fraction form
    111,305.66/167,013.30 = 52,131.11/x
  3. Step 3: Cross multiply
    111,305.66x = 167,013.30 × 52,131.11
  4. Step 4: Simplify right side
    111,305.66x = 8,706,588,713.76
  5. Step 5: Solve for x
    x = 8,706,588,713.76/111,305.66
  6. Step 6: Final answer
    x = 78,222.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.